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Finding the Fourth Proportional to 54,745.75, 82,118.67 and 13,192.75

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Solution

The fourth proportional to 54,745.75, 82,118.67 and 13,192.75 is: 19,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,745.75 : 82,118.67 = 13,192.75 : x
  2. Step 2: Convert to fraction form
    54,745.75/82,118.67 = 13,192.75/x
  3. Step 3: Cross multiply
    54,745.75x = 82,118.67 × 13,192.75
  4. Step 4: Simplify right side
    54,745.75x = 1,083,371,083.64
  5. Step 5: Solve for x
    x = 1,083,371,083.64/54,745.75
  6. Step 6: Final answer
    x = 19,789.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.